10996738560 has 240 divisors, whose sum is σ = 38297609064. Its totient is φ = 2916089856.

The previous prime is 10996738537. The next prime is 10996738603. The reversal of 10996738560 is 6583769901.

10996738560 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 6 + 73 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8734023936 + 2262714624 = 93456^2 + 47568^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 10996738497 and 10996738506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4445484 + ... + 4447956.

Almost surely, 2^10996738560 is an apocalyptic number.

10996738560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148804532).

10996738560 is an abundant number, since it is smaller than the sum of its proper divisors (27300870504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10996738560 is a wasteful number, since it uses less digits than its factorization.

10996738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10996738560 in words is "ten billion, nine hundred ninety-six million, seven hundred thirty-eight thousand, five hundred sixty".